To solve the equation [tex]\( 3x = 156 \)[/tex], follow these steps:
1. Identify the equation: We start with the equation [tex]\( 3x = 156 \)[/tex].
2. Isolate [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], we need to get rid of the coefficient 3 that is multiplying [tex]\( x \)[/tex]. We do this by performing the inverse operation, which is division.
3. Divide both sides of the equation by 3:
[tex]\[
\frac{3x}{3} = \frac{156}{3}
\][/tex]
4. Simplification:
[tex]\[
x = \frac{156}{3}
\][/tex]
5. Compute the division: When you divide 156 by 3, you get:
[tex]\[
x = 52
\][/tex]
Thus, the solution to the equation [tex]\( 3x = 156 \)[/tex] is [tex]\( x = 52 \)[/tex].
So, the correct answer is B. [tex]\( x = 52 \)[/tex].